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Learning Objective Name __________________________ Today, we will order fractions and mixed numbers on a number line. CFU What are we going to do today? Mixed Number Whole number Activate (or provide) Prior Knowledge 2 1 3 Numerator Denominator A fraction is a number that represents an equal part of a whole. A mixed number is a number that names a whole and a fraction. Compare numbers. Hint: Use < , >, or = 1. 2 1 6 > 1 5 6 2. 4 11 16 < 5 3 16 CFU Students, you already know how to compare mixed numbers. Today, we are going to order fractions and mixed numbers on a number line. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Concept Development To order numbers is to arrange1 them from least to greatest or greatest to least. A number line is used to represent and order numbers. • Whole numbers are represented by the large tick marks. • Positive numbers are numbers greater than zero. • Negative numbers are numbers less than zero. • Fractions are represented by the small tick marks between the whole numbers. • The denominator represents the total number of equal parts. • The numerator represents the selected number of equal parts. 1 Use the () sign. 2 3 4 1 4 organize Ordering Fractions and Mixed Numbers on a Number Line 2 -4 1 1 1 3 , , 2 , 2 2 4 4 4 3 4 -3 -2 -1 1 4 1 4 0 2 1 2 2 1 1 3 1 , , , 2 4 4 4 2 2 CFU Which of the numbers to the right is least? How do you know? Which of the numbers to the right is greatest? How do you know? Which shows the numbers listed from least to greatest? How do you know? How do you know the other is not ordered from least to greatest? 2 1 2 1 2 , , , 2 3 3 3 3 B ©2012 All rights reserved. Comments? [email protected] 4 1 1 1 3 , , 2 , 4 2 4 4 2 1 2 1 , , 2 , 2 3 3 3 3 2 1 2 1 2 2 , , , 2 3 3 3 3 In your own words, how do you order numbers? To order numbers _______________. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com 1 2 3 Greatest to Least Least to Greatest A Negative Numbers -3 1 3 -2 -1 2 3 1 3 0 2 1 2 2 3 3 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine2 the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected3 equal parts. Step #2: Order the numbers using the number line. 2 figure out 1. 3 chosen 1 4 3 3 1 1 , 3 , 2 , 4 4 4 4 3 4 1 3 1 3 , ,2 ,3 4 4 4 4 Order from least to greatest ________________ 1 4 3 2 3 3 4 4 3 1 3 1 3 ,2 , , 4 4 4 4 Order from greatest to least ________________ 1 4 1 1 3 3 , 3 , , 2 4 4 4 4 0 1 3 3 1 , , 2 , 3 4 4 4 4 Order from least to greatest ________________ 2 1 0 2. 1 4 3 4 2 1 2 3 4 3 1 4 3 4 1 3 3 1 3 ,2 , , 4 4 4 4 Order from greatest to least ________________ CFU (#1) How did I/you place each fraction or mixed number on the number line? (#2) How did I/you order the numbers using the number line? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 4 1 1 1 2 3 , 1 , 1 , 2 2 6 3 3 3. -2 -3 -4 2 3 -1 -2 1 6 1 -1 2 1 1 1 -2 , -1 , 1 , 3 3 6 3 2 Order from least to greatest ________________ 4. -3 -4 1 2 -1 -3 -2 5 6 0 1 3 3 1 2 1 -1 3 4 3 4 1 1 1 2 3 , 1 , -1 , -2 2 3 6 3 Order from greatest to least ________________ 2 5 5 1 1 , -1 , 2 , -3 3 6 6 2 1 5 2 5 -3 , -1 , 1 , 2 2 6 3 6 Order from least to greatest ________________ 1 2 0 1 2 3 2 2 5 6 5 2 5 1 2 , 1 , -1 , -3 6 3 6 2 Order from greatest to least ________________ CFU (#1) How did I/you place each fraction or mixed number on the number line? (#2) How did I/you order the numbers using the number line? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Relevance To order numbers is to arrange them from least to greatest or greatest to least. 1. Ordering fractions and mixed numbers will help you compare quantities. John and Mary are in a pie-eating contest. John ate 2 5 3 pies and Mary ate 2 pies. 8 4 Who won the contest? 5 2 8 < John 3 2 4 Mary Mary ate more pies than John. 2. Ordering fractions and mixed numbers will help you do well on tests. CFU Does anyone else have another reason why it is relevant to order fractions and mixed numbers on a number line? (pair-share) Why is it relevant to order fractions and mixed numbers on a number line? You may give me one of my reasons or one of you own. Which reason is more relevant to you? Why? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Skill Closure Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 2 1. 3 , 1 3 3 , , 2 4 4 4 1 4 1 3 3 1 , , 2 , 3 4 4 4 2 Order from least to greatest ________________ 1 3 3 1 3 , 2 , , 2 4 4 4 Order from greatest to least ________________ 0 3 4 2 1 2 3 4 1 4 3 1 2 3 4 Constructed Response Closure Mario believes that the numbers listed are ordered from least to greatest. Explain why he is incorrect and what mistake he has made. ___________________________________________________________________ _________________________________________________________________ 1 3 3 1 , - , -2 , 3 4 4 4 2 Summary Closure What did you learn today about ordering fractions and mixed numbers on a number line? Day 1 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Day 2 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Independent Practice Name __________________________ To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1. 1 1 3 3 , 2 , 1 , 4 4 4 4 1 4 3 4 1 0 1 3 3 1 , ,1 ,2 4 4 4 4 Order from least to greatest ________________ 2. 1 4 0 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 3 4 2 1 4 1 4 2 3 4 1 3 3 1 2 ,1 , , 4 4 4 4 Order from greatest to least ________________ 3 1 3 1 3 , , , 2 4 4 4 4 1 3 1 3 , , 2 , 3 4 4 4 4 Order from least to greatest ________________ 1 3 4 2 1 2 1 4 3 3 3 4 4 3 1 3 1 3 ,2 , , 4 4 4 4 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Independent Practice (continued) To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 4 1 1 2 1 3 , 1 , 2 , 2 2 3 3 6 3. -2 -3 -4 1 6 -1 1 3 2 -2 -1 1 1 2 1 -2 , -1 , 2 , 3 6 3 3 2 Order from least to greatest ________________ 1 0 2 2 3 3 1 2 3 4 1 2 1 1 3 , 2 , -1 , -2 2 3 3 6 Order from greatest to least ________________ 1 1 1 2 2 , 1 , 3 , 6 6 3 3 4. -3 -4 1 3 -1 -3 -2 1 6 2 3 -1 1 1 2 1 -3 , -1 , , 2 3 6 3 6 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 0 2 1 2 1 6 3 4 1 2 1 1 2 , , -1 , -3 6 3 6 3 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Name __________________________ To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 1 3 1 , 1 , 3 , 4 4 4 2 1 1 1 -1 2 4 4 1. -4 -3 -2 -1 1 1 1 3 -1 , - , , 3 4 2 4 4 Order from least to greatest ________________ -4 -3 1 4 -2 -1 1 3 1 3 -2 , - , , 3 4 4 4 4 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 3 1 2 3 4 4 3 3 1 1 1 3 , , - , -1 4 4 2 4 Order from greatest to least ________________ 1 3 3 1 2 , 3 , , 4 4 4 4 3 1 4 4 2. -2 0 1 4 0 3 1 2 3 4 3 4 3 1 3 1 3 , , - , -2 4 4 4 4 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 1 (continued) To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 4 3 1 3 1 2 1 2 , 1 , 3 , 2 3 3 3 3 3. -2 2 3 - -3 -4 -2 -1 2 1 2 1 -2 , - , 1 , 3 3 3 3 3 Order from least to greatest ________________ -4 1 3 -2 -3 1 1 3 -2 -1 1 1 2 2 -3 , -2 , , 3 3 3 3 3 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 1 0 2 3 2 3 4 1 2 1 2 3 , 1 , - , -2 3 3 3 3 Order from greatest to least ________________ 2 2 1 1 3 , , 3 , 2 3 3 3 3 4. -3 1 3 0 2 3 3 1 2 2 3 3 4 2 2 1 1 3 , , -2 , -3 3 3 3 3 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Name __________________________ To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 1 1 3 2 , 1 , 3 , 4 4 2 4 1 1 4 1. 3 1 2 -4 -3 -2 -1 1 1 3 1 -3 , -1 , , 2 2 4 4 4 Order from least to greatest ________________ -4 1 4 -3 -2 -1 1 1 1 3 -3 , -1 , 2 , 2 4 4 4 4 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 2 1 1 4 2 3 4 1 3 1 1 2 , , -1 , -3 4 4 4 2 Order from greatest to least ________________ 3 1 1 1 2 , 1 , 2 , 3 4 4 4 4 1 1 4 2. 3 0 3 4 1 4 0 2 1 2 1 4 2 3 4 3 4 3 1 1 1 2 , 2 , -1 , -3 4 4 4 4 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 2 (continued) To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 4 2 1 2 1 , , 2 , 1 3 3 3 3 3. 2 2 3 -3 -4 -2 -1 2 1 2 1 -2 , - , , 1 3 3 3 3 Order from least to greatest ________________ 1 3 2 3 0 1 1 3 1 2 3 4 1 2 1 2 1 , , - , -2 3 3 3 3 Order from greatest to least ________________ 1 2 1 1 1 , 1 , 2 , 3 3 3 3 3 4. 3 -4 1 3 2 -3 1 3 1 -2 -1 1 1 1 2 -3 , -2 , 1 , 1 3 3 3 3 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 0 1 1 3 1 2 3 2 3 4 2 1 1 1 1 , 1 , -2 , -3 3 3 3 3 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Name __________________________ To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 1 1 3 2 , , 1 , 2 4 2 4 4 1 1 4 1. 2 -4 3 4 -3 -2 -1 3 1 1 1 -2 , -1 , , 2 4 4 2 4 Order from least to greatest ________________ -4 3 4 2 3 4 -3 -2 -1 3 3 1 1 -3 , -2 , , 2 4 4 4 4 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 2 1 1 4 2 3 4 1 1 1 3 2 , , -1 , -2 4 2 4 4 Order from greatest to least ________________ 1 3 1 3 2 , 3 , , 2 4 4 4 4 1 4 2. 3 0 1 2 1 4 0 2 1 2 1 4 3 4 1 1 3 3 2 , , -2 , -3 4 4 4 4 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Periodic Review 3 (continued) To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the () sign. Order fractions and mixed numbers on a number line. 2 3 4 2 1 2 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero. c. Determine the denominator and numerator. Hint: Move the number of selected equal parts. Step #2: Order the numbers using the number line. 1 4 1 1 1 1 1 , 3 , 1 , 2 3 3 6 2 3. 3 -4 1 3 1 -3 -2 1 6 1 -1 1 1 1 1 -3 , -1 , 1 , 2 3 6 3 2 Order from least to greatest ________________ 4. 2 -4 -3 0 1 1 3 2 -2 -1 1 1 5 5 -2 , - , 2 , 3 2 6 6 6 Order from least to greatest ________________ DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 4 1 1 1 1 2 , 1 , -1 , -3 2 3 6 3 Order from greatest to least ________________ 1 1 5 5 , 2 , 2 , 3 6 2 6 6 1 6 1 2 3 0 2 1 2 5 6 3 3 5 6 4 5 5 1 1 3 , 2 , - , -2 6 6 6 2 Order from greatest to least ________________ 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. EDI – Cognitive, Teaching and English Learners Strategies Learning Objective : Today, we will order fractions and mixed numbers on a number line. Cognitive Strategies Teaching Strategies Elaboration Demonstration Targeted vocabulary: order, arrange, number line, whole numbers, fraction, determine, selected Language Strategies Vocabulary Words Academic arrange, determine, selected Content order, number line, whole numbers, fraction Support Multiple-Meaning Vocabulary Strategy Synonym arrange, selected Definition order, number line, whole numbers, fraction, determine Homophone Internal Context Clue Listen, Speak Read Write Similar Sounds Tracked Reading Decoding Rules Writing Content Access Strategies Comprehensible Input Cognates Graphic Organizer Contextual Clues Contextualized Definitions Pictures DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only. Blank Page DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2012 All rights reserved. Comments? [email protected] 6th Grade Number Sense 1.1 (3Q) Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Lesson to be used by EDI-trained teachers only.